Exact dipole solitary wave solution in metamaterials with higher-order dispersion

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Min, X ; Yang, R ; Tian, J ; Xue, W ; Christian, JM (2016)

We present an exact dipole solitary wave solution in a mutual modulation form of bright and dark\ud solitons for a higher-order nonlinear Schrödinger equation with third- and fourth-order dispersion\ud in metamaterials (MMs) using an ansatz method. Based on the Drude model, the formation\ud conditions, existence regions and propagation properties are discussed. The results reveal that the\ud solitary wave may exist in a few parameter regions of MMs, different from those in optical fibres, and\ud its propagation properties can be controlled by adjusting the frequency of incident waves in each\ud existence region.
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